Answer:
30 seconds
Step-by-step explanation:
speed= 850 feet / 10 seconds = 85 feet/ second
distance = 2550
time= distance/speed
= 2550 divided by 85
= 30 seconds
Given:
ABC is an isosceles triangle in which AC =BC.
D and E are points on BC and AC such that CE=CD.
To prove:
Triangle ACD and BCE are congruent.
Solution:
In triangle ACD and BCE,
(Given)

(Common angle)
(Given)

In triangles ACD and BCE two corresponding sides and one included angle are congruent. So, the triangles are congruent by SAS congruence postulate.
(SAS congruence postulate)
Hence proved.
Answer:
.
Step-by-step explanation:
It is given that the sum of first two terms of an infinite GP is 6.
nth term of a GP is
...(1)
Each term is 5 times the sum of the succeeding terms.
Divide both sides by a.
The common ratio is 1/6.
Put r=1/6 in (1).
Second term
Therefore, the second term is
.
Answer:
2/3x+8=y
Step-by-step explanation:
8x-12y=-96
8x+96=12y
8/12x+8=y
2/3x+8=y
Answer:
x = 8.5
Step-by-step explanation:
4x-5=9+20 (evaluate right side)
4x - 5 = 29 (add 5 to both sides)
4x = 29 + 5
4x = 34 (divide both sides by 4)
x = 34/4
x = 8.5